The parabolic Harnack inequality for nonlocal equations

Kaßmann M, Weidner M (Accepted)
arXiv:2303.05975.

Preprint | Angenommen | Englisch
 
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Autor*in
Kaßmann, MoritzUniBi ; Weidner, Marvin
Abstract / Bemerkung
We complete the local regularity program for weak solutions to linear parabolic nonlocal equations with bounded measurable coefficients. Within the variational framework we prove the parabolic Harnack inequality and H\"older regularity estimates. We discuss in detail the shortcomings of previous results in this direction. The key element of our approach is a fine study of the nonlocal tail term.

to appear in Duke Mathematical Journal
Erscheinungsjahr
2023
Zeitschriftentitel
arXiv:2303.05975
Page URI
https://pub.uni-bielefeld.de/record/2986706

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Kaßmann M, Weidner M. The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975. Accepted.
Kaßmann, M., & Weidner, M. (Accepted). The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975. https://doi.org/10.48550/arXiv.2303.05975
Kaßmann, Moritz, and Weidner, Marvin. Accepted. “The parabolic Harnack inequality for nonlocal equations”. arXiv:2303.05975.
Kaßmann, M., and Weidner, M. (Accepted). The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975.
Kaßmann, M., & Weidner, M., Accepted. The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975.
M. Kaßmann and M. Weidner, “The parabolic Harnack inequality for nonlocal equations”, arXiv:2303.05975, Accepted.
Kaßmann, M., Weidner, M.: The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975. (Accepted).
Kaßmann, Moritz, and Weidner, Marvin. “The parabolic Harnack inequality for nonlocal equations”. arXiv:2303.05975 (Accepted).
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